Please use this identifier to cite or link to this item:
https://hdl.handle.net/11147/2646
Title: | Exact Solution and Dynamic Buckling Analysis of a Beam-Column System Having the Elliptic Type Loading | Authors: | Artem, Hatice Seçil Aydın, Levent |
Keywords: | Dynamic analysis Ordinary differential equations Dynamic buckling Exact solutions Jacobi elliptic functions Stability |
Publisher: | Springer Verlag | Source: | Artem, H. S., and Aydın, L. (2010). Exact solution and dynamic buckling analysis of a beam-column system having the elliptic type loading. Applied Mathematics and Mechanics (English Edition), 31(10), 1317-1324. doi:10.1007/s10483-010-1364-8 | Abstract: | This paper presents a closed form solution to the dynamic stability problem of a beam-column system with hinged ends loaded by an axial periodically time-varying compressive force of an elliptic type, i.e., a 1cn 2(τ, k 2) + a 2sn2(τ, k 2) + a 3dn2(τ, k 2). The solution to the governing equation is obtained in the form of Fourier sine series. The resulting ordinary differential equation is solved analytically. Finding the exact analytical solutions to the dynamic buckling problems is difficult. However, the availability of exact solutions can provide adequate understanding for the physical characteristics of the system. In this study, the frequency-response characteristics of the system, the effects of the static load, the driving forces, and the frequency ratio on the critical buckling load are also investigated. © 2010 Shanghai University and Springer-Verlag Berlin Heidelberg. | URI: | http://doi.org/10.1007/s10483-010-1364-8 http://hdl.handle.net/11147/2646 |
ISSN: | 0253-4827 |
Appears in Collections: | Mechanical Engineering / Makina Mühendisliği Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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